## How To Learn Calculus Of One Variable Vol. I, Volume 1How To Learn Calculus Of One Variable A Central Part In Many Branches Of Physics And Engineering. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associates With The Theoretical Aspects Which Is Quite Exhaustively. The Entire Book In A Manner Can Help The Student To Learn The Methods Of Calculus And Theoretical Aspects.These Techniques Are Presented In This Book In A Lucid Manner With A Large Number Of Example, Students Will Easily Understand The Principles Of Calculus. It Helps To Solve Most Examples And Reasonings.This Book Mainly Caters To The Need Of Intermediate And Competitive Students, Who Will Find It A Pleasure In This Book. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modelers. |

### Contents

Function | 1 |

Limit and Limit Points | 118 |

Continuity of a Function | 151 |

Practical Methods of Finding the Limits | 159 |

Practical Methods of Continuity Test | 271 |

Derivative of a Function | 305 |

Differentiability at a Point | 321 |

Rules of Differentiation | 354 |

Logarithmic Differentiation | 543 |

Successive Differentiation | 567 |

LHospitals Rule | 597 |

Evaluation of Derivatives for Particular Arguments | 615 |

Derivative as Rate Measurer | 636 |

Approximations | 666 |

Rolles Theorem and Lagranges Mean Value Theorem | 781 |

Monotonocity of a Function | 840 |

Chain Rule for the Derivative | 382 |

Differentiation of Inverse Trigonometric Functions | 424 |

Differential Coefficient of Mod Functions | 478 |

Implicit Differentiation | 499 |

Maxima and Minima | 870 |

Bibliography 949 | |

### Common terms and phrases

angle closed interval codomain constant continuous and differentiable continuous function cosē cose cosec cosx cotx curve decreasing definition differentiable function differential coefficient differentiating both sides discontinuous dx dx dx dy dx dy dx dy dy dy exist Find the domain find the value following functions formula function f(x ƒ x Given equation given interval given point graph greatest integer function Hence increasing independent variable inverse Lagrange's mean value lim f(x lim h limit point log log logarithmic logx m₁ m₂ maximum mean value theorem method neighbourhood open interval point of intersection positive number Problems based real numbers Rolle's theorem rule secē secx sequence sinē sine sinx slope Solution Solved Examples subtangent tangent trigonometric function Type x-axis x₁ y=y₁ y₁ π π